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Finding the Fourth Proportional to 19,118.50, 26,384.70 and 10,735

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Solution

The fourth proportional to 19,118.50, 26,384.70 and 10,735 is: 14,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,118.50 : 26,384.70 = 10,735 : x
  2. Step 2: Convert to fraction form
    19,118.50/26,384.70 = 10,735/x
  3. Step 3: Cross multiply
    19,118.50x = 26,384.70 × 10,735
  4. Step 4: Simplify right side
    19,118.50x = 283,239,754.50
  5. Step 5: Solve for x
    x = 283,239,754.50/19,118.50
  6. Step 6: Final answer
    x = 14,814.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.